English

A note on dependent random variables in quantum dynamics

Mathematical Physics 2022-09-07 v1 math.MP

Abstract

We consider the many-body time evolution of weakly interacting bosons in the mean field regime for initial coherent states. We show that bounded k-particle operators, corresponding to dependent random variables, satisfy both, a law of large numbers and a central limit theorem.

Keywords

Cite

@article{arxiv.2112.04817,
  title  = {A note on dependent random variables in quantum dynamics},
  author = {Simone Rademacher},
  journal= {arXiv preprint arXiv:2112.04817},
  year   = {2022}
}

Comments

Contribution to the Proceedings of ICMP 2021, 10 pages

R2 v1 2026-06-24T08:10:29.148Z